Universal features of information spreading efficiency on $d$-dimensional lattices

Details Universal features of information spreading efficiency on $d$-dimensional lattices Universal features of information spreading efficiency on $d$-dimensional lattices

2007-02-26

arxiv.org/abs/cond-mat/0702592v1

Physical Review E 75, 021119 (2007)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 9 figures

Scientific paper

10.1103/PhysRevE.75.021119

A model for information spreading in a population of $N$ mobile agents is extended to $d$-dimensional regular lattices. This model, already studied on two-dimensional lattices, also takes into account the degeneration of information as it passes from one agent to the other. Here, we find that the structure of the underlying lattice strongly affects the time $\tau$ at which the whole population has been reached by information. By comparing numerical simulations with mean-field calculations, we show that dimension $d=2$ is marginal for this problem and mean-field calculations become exact for $d > 2$. Nevertheless, the striking nonmonotonic behavior exhibited by the final degree of information with respect to $N$ and the lattice size $L$ appears to be geometry independent.

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